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Volumn 66, Issue 6, 2002, Pages 11-

Kang-Redner small-mass anomaly in cluster-cluster aggregation

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER-CLUSTER AGGREGATION (CCA); REACTION-DIFFUSION SYSTEMS; RENORMALIZATION GROUP (RG); SCALING FUNCTIONS;

EID: 45849155911     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066118     Document Type: Article
Times cited : (15)

References (35)
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    • J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
  • 4
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    • For a rigorous derivation of these exponents in one dimension, see M. Bramson and D. Griffeath, Ann. Prob. 8, 183 (1980).
    • (1980) Ann. Prob. , vol.8 , pp. 183
    • Bramson, M.1    Griffeath, D.2
  • 11
    • 85036211356 scopus 로고    scopus 로고
    • D. ben-Avraham, in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997)
    • D. ben-Avraham, in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997).
  • 13
    • 85036258018 scopus 로고    scopus 로고
    • S.K. Friedlander, Smoke, Dust and Haze (Wiley Interscience, New York, 1977)
    • S.K. Friedlander, Smoke, Dust and Haze (Wiley Interscience, New York, 1977).
  • 16
    • 85036178434 scopus 로고    scopus 로고
    • J. Cardy, Field theory and nonequilibrium statistical mechanics. The notes are available at the website http://www.thphys.physics.ox.ac.uk/users/JohnCardy/;, for a review of results concerning coupling constant renormalization, see part II therein
    • J. Cardy, Field theory and nonequilibrium statistical mechanics. The notes are available at the website http://www.thphys.physics.ox.ac.uk/users/JohnCardy/;for a review of results concerning coupling constant renormalization, see part II therein.
  • 18
    • 33646974694 scopus 로고
    • Phys. Lett.A.S. Mikhailov85A, 427 (1981).
    • (1981) , vol.85A , pp. 427
    • Mikhailov, A.S.1
  • 25
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    • V.E. Zakharov, V.S. L’vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I (Springer-Verlag, Berlin, 1992)
    • V.E. Zakharov, V.S. L’vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I (Springer-Verlag, Berlin, 1992).
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  • 27
    • 0001199360 scopus 로고
    • J. Phys. AM. Doi, 9, 1479 (1976);
    • (1976) , vol.9 , pp. 1479
    • Doi, M.1
  • 30
    • 85036203632 scopus 로고    scopus 로고
    • The statement of correctness of the mean field theory in (Formula presented) has to be understood properly. For instance, the effective reaction rate entering the Smoluchowski coagulation equation is not equal to the bare reaction rate due to the strong ultraviolet divergence of Feynman integrals contributing to the renormalization of the reaction rate. As a result, the density-density correlation function is not equal to the product of the one-point function, but rather is proportional to it. Yet, as the renormalized reaction rate in (Formula presented) is a constant depending on lattice spacing, decay exponents are predicted by the mean field correctly
    • The statement of correctness of the mean field theory in (Formula presented) has to be understood properly. For instance, the effective reaction rate entering the Smoluchowski coagulation equation is not equal to the bare reaction rate due to the strong ultraviolet divergence of Feynman integrals contributing to the renormalization of the reaction rate. As a result, the density-density correlation function is not equal to the product of the one-point function, but rather is proportional to it. Yet, as the renormalized reaction rate in (Formula presented) is a constant depending on lattice spacing, decay exponents are predicted by the mean field correctly.
  • 32
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    • C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 1994)
    • C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 1994).
  • 35
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    • S. Krishnamurthy, R. Rajesh, and O. Zaboronski (unpublished)
    • S. Krishnamurthy, R. Rajesh, and O. Zaboronski (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.